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3 years ago

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Joe has some money in his bank account. He deposits $45. Write an expression that represents the amount of money in joe’s accoun

t.

2 answers:

Svet_ta [14]3 years ago

4 0

The equation would be Y=X+45 the expression would be X+45

yuradex [85]3 years ago

3 0

That answer is negative 45 dollars

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Audrey, an astronomer is searching for extra-solar planets using the technique of relativistic lensing. Though there are believe

Stolb23 [73]

Answer:

Step-by-step explanation:

The model $N (t)$ , the number of planets found up to time $t$ , as a Poisson process. So, the $N (t)$ has distribution of Poison distribution with parameter $(\lambda t)$

a)

The mean for a month is, $\lambda = \frac{1}{3}$ per month

$E[N(t)]= \lambda t\\\\=\frac{1}{3}(24)\\\\=8$

(Here. t = 24)

For Poisson process mean and variance are same,

$Var[N (t)]= Var[N(24)]\\= E [N (24)]\\=8$

(Poisson distribution mean and variance equal)

The standard deviation of the number of planets is,

$\sigma( 24 )] =\sqrt{Var[ N(24)]}=\sqrt{8}= 2.828$

b)

For the Poisson process the intervals between events(finding a new planet) have independent exponential distribution with parameter $\lambda$ . The sum of $K$ of these independent exponential has distribution Gamma $(K, \lambda)$ .

From the given information, $k = 6$ and $\lambda =\frac{1}{3}$

Calculate the expected value.

$E(x)=\frac{\alpha}{\beta}\\\\=\frac{K}{\lambda}\\\\=\frac{6}{\frac{1}{3}}\\\\=18$

(Here, $\alpha =k$ and $\beta=\lambda$ )

C)

Calculate the probability that she will become eligible for the prize within one year.

Here, 1 year is equal to 12 months.

P(X ≤ 12) = (1/Г (k)λ^k)(x)^(k-1).(e)^(-x/λ)

$=\frac{1}{Г (6)(\frac{1}{3})^6}(12)^{6-1}e^{-36}\\\\=0.2148696\\=0.2419\\=21.49%$

Hence, the required probability is 0.2149 or 21.49%

5 0

3 years ago

2X to the second power minus 4X equals three in standard form

Elena-2011 [213]

Answer:

2x^2-4x=3

standard form of a quadratic equation =ax^2+bx+y=0

so you would bring the 3 over to the other side making the solution 2x^2-4x-3=0

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3 years ago

In a direct variation, y = 12 when x = 3. Write a direct variation equation

lbvjy [14]

Answer:

fourth one

Step-by-step explanation:

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3 years ago

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Giovanna,Frances, and their dad each carried a ten pound bag of soil into the back yard. After putting soil in the first flower

Greeley [361]

First find the common denominator
5/8=25/40
2/5=16/40
3/4=30/40
Next you can cross multiply
25/40=x/10 pounds
16/40=x/10 pounds
30/40=x/10 pounds
First
25(10)/40= 6.25 pounds
16(10)/40= 4pounds
30(10)/40= 7.5 pounds
These are the amounts that were left in the bag

10-6.25=3.75
10-4=6
10-7.5=2.5

3.75+6+2.5= 12.25

All together they put 12.25 pounds of soil in the flower bed

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3 years ago

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LekaFEV [45]

Answer:

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Step-by-step explanation:

To solve this, I broke it down into two parts.

A. Number of routes going to Town C

4 x 3 + 2 = 14

B. Number of routes going back to Town A

3 x 4 + 2 = 14

From here, it is easy to see what to do. Since there are 14 routes going to Town C and 14 routes going back, the answer is 14 x 14 = 196.

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3 years ago